63 citations · 229 across the 16 of their papers we have counts for
4 papers · 1 filter
On a Schur-positive function
Peter J. McNamara
We prove Schur-positivity for a family of symmetric functions.
Factorial Schur functions and the Yang-Baxter equation
Daniel Bump, Peter J. McNamara, Maki Nakasuji
Factorial Schur functions are generalizations of Schur functions that have, in addition to the usual variables, a second family of "shift" parameters. We show that a factorial Schu…
Factorial Schur functions via the six vertex model
Peter J. McNamara
For a particular set of Boltzmann weights and a particular boundary condition for the six vertex model in statistical mechanics, we compute explicitly the partition function and sh…
Some positive differences of products of Schur functions
Francois Bergeron, Peter McNamara
The product of two Schur functions is one of the most famous examples of a Schur-positive function, i.e. a symmetric function which, when written as a linear combination o…